{"id":"W2051204832","doi":"10.1090/s0065-9266-2010-00628-8","title":"On systems of equations over free partially commutative groups","year":2010,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Commutative property; Pure mathematics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001006305,0.0008997349,0.0006601269,0.001396116,0.00126585,0.002314216,0.0008352631,0.000787726,0.007317571],"category_scores_gemma":[0.001270137,0.0003127783,0.001217766,0.001007597,0.001799933,0.00313836,0.001904844,0.001384,0.001569763],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001369877,"about_ca_system_score_gemma":0.0005855307,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001625019,"about_ca_topic_score_gemma":0.001534747,"domain_scores_codex":[0.9989524,0.0003184713,0.00007498006,0.0001605921,0.0003220591,0.0001715407],"domain_scores_gemma":[0.9996194,0.0001323162,0.00005193073,0.00004753449,0.0001051392,0.00004366026],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000006188721,0.00000418666,0.00005506465,0.00001659399,0.000003799802,0.00003282143,0.0001620881,0.000961437,0.0005677799,0.9956613,0.0003924706,0.002136252],"study_design_scores_gemma":[0.00001307622,0.00001290389,0.00008074172,0.00001187925,0.000006104468,0.00004284902,0.00007178661,0.009202625,0.0006932631,0.9819135,0.007941197,0.00001013938],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1850493,0.001393767,0.6524799,0.002158727,0.0005602011,0.000130195,0.0007249272,0.0005991161,0.1569039],"genre_scores_gemma":[0.8151722,0.0009605875,0.1319928,0.0005689236,0.0004893323,0.0002862627,0.0008733551,0.000296109,0.04936031],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007317571,"threshold_uncertainty_score":0.02447975,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02442533479567697,"score_gpt":0.3018606467566562,"score_spread":0.2774353119609792,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}